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Results (15 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 7 11
1232.4.a.a 1232.a 1.a $1$ $72.690$ \(\Q\) None 616.4.a.a \(0\) \(-9\) \(15\) \(7\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-9q^{3}+15q^{5}+7q^{7}+54q^{9}-11q^{11}+\cdots\)
1232.4.a.c 1232.a 1.a $1$ $72.690$ \(\Q\) None 308.4.a.b \(0\) \(-4\) \(-12\) \(-7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-4q^{3}-12q^{5}-7q^{7}-11q^{9}-11q^{11}+\cdots\)
1232.4.a.d 1232.a 1.a $1$ $72.690$ \(\Q\) None 77.4.a.a \(0\) \(-4\) \(12\) \(-7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-4q^{3}+12q^{5}-7q^{7}-11q^{9}-11q^{11}+\cdots\)
1232.4.a.g 1232.a 1.a $1$ $72.690$ \(\Q\) None 154.4.a.a \(0\) \(5\) \(-1\) \(7\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{3}-q^{5}+7q^{7}-2q^{9}+11q^{11}+\cdots\)
1232.4.a.h 1232.a 1.a $1$ $72.690$ \(\Q\) None 308.4.a.a \(0\) \(7\) \(-1\) \(-7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+7q^{3}-q^{5}-7q^{7}+22q^{9}-11q^{11}+\cdots\)
1232.4.a.j 1232.a 1.a $2$ $72.690$ \(\Q(\sqrt{37}) \) None 154.4.a.g \(0\) \(-6\) \(26\) \(-14\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-3-\beta )q^{3}+(13-\beta )q^{5}-7q^{7}+\cdots\)
1232.4.a.k 1232.a 1.a $2$ $72.690$ \(\Q(\sqrt{5}) \) None 616.4.a.c \(0\) \(2\) \(-8\) \(14\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+3\beta )q^{3}+(-4+2\beta )q^{5}+7q^{7}+\cdots\)
1232.4.a.n 1232.a 1.a $2$ $72.690$ \(\Q(\sqrt{37}) \) None 616.4.a.b \(0\) \(4\) \(0\) \(14\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-\beta q^{5}+7q^{7}-23q^{9}-11q^{11}+\cdots\)
1232.4.a.o 1232.a 1.a $2$ $72.690$ \(\Q(\sqrt{57}) \) None 154.4.a.h \(0\) \(5\) \(-17\) \(14\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(3-\beta )q^{3}+(-7-3\beta )q^{5}+7q^{7}+\cdots\)
1232.4.a.r 1232.a 1.a $3$ $72.690$ 3.3.5925.1 None 308.4.a.c \(0\) \(-5\) \(9\) \(21\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2+\beta _{1})q^{3}+(2+3\beta _{1})q^{5}+7q^{7}+\cdots\)
1232.4.a.s 1232.a 1.a $4$ $72.690$ 4.4.522072.1 None 77.4.a.d \(0\) \(-14\) \(10\) \(28\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-4-\beta _{2})q^{3}+(4-\beta _{1}+2\beta _{2})q^{5}+\cdots\)
1232.4.a.t 1232.a 1.a $4$ $72.690$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None 616.4.a.e \(0\) \(3\) \(-19\) \(28\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-5-\beta _{2})q^{5}+7q^{7}+\cdots\)
1232.4.a.y 1232.a 1.a $5$ $72.690$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None 77.4.a.e \(0\) \(-2\) \(-24\) \(-35\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}+(-4+\beta _{2}+\beta _{3})q^{5}-7q^{7}+\cdots\)
1232.4.a.ba 1232.a 1.a $6$ $72.690$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None 616.4.a.h \(0\) \(0\) \(-14\) \(-42\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+(-2-\beta _{3})q^{5}-7q^{7}+(4+\cdots)q^{9}+\cdots\)
1232.4.a.bb 1232.a 1.a $6$ $72.690$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None 616.4.a.i \(0\) \(0\) \(2\) \(-42\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{4}q^{3}+(-\beta _{2}+\beta _{4})q^{5}-7q^{7}+(11+\cdots)q^{9}+\cdots\)
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